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arXiv · 1705.08644

Asymptotic Lipschitz regularity of viscosity solutions of Hamilton-Jacobi equations

Xia Li·Lin Wang
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Abstract

For each continuous initial data $\varphi(x)\in C(M,\mathbb{R})$, we obtain the asymptotic Lipschitz regularity of the viscosity solution of the following evolutionary Hamilton-Jacobi equation with convex and coercive Hamiltonians: \partial_tu(x,t)+H(x,\partial_xu(x,t))=0, u(x,0)=\varphi(x).

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Xia Li, Lin Wang. 2017-05-24. Asymptotic Lipschitz regularity of viscosity solutions of Hamilton-Jacobi equations. https://arxiv.org/abs/1705.08644

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